On The Potential Theory Of Coclosed Harmonic Forms
- 1 January 1955
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 7, 126-137
- https://doi.org/10.4153/cjm-1955-015-0
Abstract
1. Introduction. The potential theory of real harmonic tensors, which was first studied by Hodge (5), offers a variety of problems by no means all of which have yet been examined. In the present paper there are formulated the solutions of some boundary value problems for the Poisson equations associated with coclosed harmonic forms. These problems include as special cases a number of previous results on coclosed harmonic forms and harmonic fields.Keywords
This publication has 4 references indexed in Scilit:
- A Tensor Boundary Value Problem of Mixed TypeCanadian Journal of Mathematics, 1954
- Boundary Value Problems Associated With the Tensor Laplace EquationCanadian Journal of Mathematics, 1953
- Harmonic Tensors on Riemannian Manifolds with BoundaryAnnals of Mathematics, 1952
- Differential Forms in Manifolds with BoundaryAnnals of Mathematics, 1952